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Finding the Third Proportional to 4,135 and 8,405

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Solution

The third proportional to 4,135 and 8,405 is: 17,084.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,135 : 8,405 = 8,405 : x
  2. Step 2: Convert to fraction form
    4,135/8,405 = 8,405/x
  3. Step 3: Cross multiply
    4,135x = 8,405 × 8,405
  4. Step 4: Simplify right side
    4,135x = 70,644,025
  5. Step 5: Solve for x
    x = 70,644,025/4,135
  6. Step 6: Final answer
    x = 17,084.41

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.